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Domanov, Ignat

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 Author ID: domanov.ignat Published as: Domanov, I.; Domanov, I. U.; Domanov, I. Yu.; Domanov, Ignat Homepage: https://www.domanovi.com External Links: MGP · ORCID · ResearchGate
 Documents Indexed: 25 Publications since 1999 Reviewing Activity: 11 Reviews
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Co-Authors

 9 single-authored 11 De Lathauwer, Lieven 4 Malamud, Mark M. 2 Sørensen, Mikael 1 Boussé, Martijn 1 Debals, Otto 1 Sorber, Laurent 1 Stegeman, Alwin 1 Surovtseva, V. V. 1 Van Barel, Marc 1 Vervliet, Nico
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Serials

 7 SIAM Journal on Matrix Analysis and Applications 3 Mathematical Notes 3 Linear Algebra and its Applications 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Integral Equations and Operator Theory 1 IEEE Transactions on Signal Processing 1 Computational Optimization and Applications 1 Numerical Linear Algebra with Applications 1 Methods of Functional Analysis and Topology 1 Ukraïns’kyĭ Matematychnyĭ Visnyk
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Fields

 13 Operator theory (47-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX)

Citations contained in zbMATH

15 Publications have been cited 117 times in 59 Documents Cited by Year
On the uniqueness of the canonical polyadic decomposition of third-order tensors. II: Uniqueness of the overall decomposition. Zbl 1282.15020
Domanov, Ignat; De Lathauwer, Lieven
2013
On the uniqueness of the canonical polyadic decomposition of third-order tensors. I: Basic results and uniqueness of one factor matrix. Zbl 1282.15019
Domanov, Ignat; De Lathauwer, Lieven
2013
Generic uniqueness conditions for the canonical polyadic decomposition and INDSCAL. Zbl 1330.15028
Domanov, Ignat; De Lathauwer, Lieven
2015
Canonical polyadic decomposition of third-order tensors: reduction to generalized eigenvalue decomposition. Zbl 1306.15022
Domanov, Ignat; De Lathauwer, Lieven
2014
Canonical polyadic decomposition of third-order tensors: relaxed uniqueness conditions and algebraic algorithm. Zbl 1349.15065
Domanov, Ignat; De Lathauwer, Lieven
2017
On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009
Domanov, I. Yu.; Malamud, M. M.
2009
Coupled canonical polyadic decompositions and (coupled) decompositions in multilinear rank-$$(L_{r,n},L_{r,n},1)$$ terms. II: Algorithms. Zbl 1321.65068
Sørensen, Mikael; Domanov, Ignat; de Lathauwer, Lieven
2015
On invariant subspaces of matrices: a new proof of a theorem of Halmos. Zbl 1206.15007
Domanov, Ignat
2010
Exact line and plane search for tensor optimization. Zbl 1361.90046
Sorber, Laurent; Domanov, Ignat; Van Barel, Marc; De Lathauwer, Lieven
2016
Linear systems with a canonical polyadic decomposition constrained solution: algorithms and applications. Zbl 07031736
Boussé, M.; Vervliet, N.; Domanov, I.; Debals, O.; De Lathauwer, L.
2018
Coupled canonical polyadic decompositions and multiple shift invariance in array processing. Zbl 1415.94237
Sørensen, Mikael; Domanov, Ignat; de Lathauwer, Lieven
2018
On the largest multilinear singular values of higher-order tensors. Zbl 1379.15007
Domanov, Ignat; Stegeman, Alwin; Lathauwer, Lieven De
2017
Invariant and hyperinvariant subspaces of an operator $$J^{\alpha}$$ and related operator algebras in Sobolev spaces. Zbl 1006.47003
Domanov, I. Yu.; Malamud, M. M.
2002
On cyclic and invariant subspaces of the operator $$J\otimes B$$ in Sobolev spaces. Zbl 0956.46022
Domanov, I. Yu.
1999
On cyclic and invariant subspaces of an operator $$J\otimes B$$ in the Sobolev space of vector functions. Zbl 0948.47033
Domanov, I. U.
1999
Linear systems with a canonical polyadic decomposition constrained solution: algorithms and applications. Zbl 07031736
Boussé, M.; Vervliet, N.; Domanov, I.; Debals, O.; De Lathauwer, L.
2018
Coupled canonical polyadic decompositions and multiple shift invariance in array processing. Zbl 1415.94237
Sørensen, Mikael; Domanov, Ignat; de Lathauwer, Lieven
2018
Canonical polyadic decomposition of third-order tensors: relaxed uniqueness conditions and algebraic algorithm. Zbl 1349.15065
Domanov, Ignat; De Lathauwer, Lieven
2017
On the largest multilinear singular values of higher-order tensors. Zbl 1379.15007
Domanov, Ignat; Stegeman, Alwin; Lathauwer, Lieven De
2017
Exact line and plane search for tensor optimization. Zbl 1361.90046
Sorber, Laurent; Domanov, Ignat; Van Barel, Marc; De Lathauwer, Lieven
2016
Generic uniqueness conditions for the canonical polyadic decomposition and INDSCAL. Zbl 1330.15028
Domanov, Ignat; De Lathauwer, Lieven
2015
Coupled canonical polyadic decompositions and (coupled) decompositions in multilinear rank-$$(L_{r,n},L_{r,n},1)$$ terms. II: Algorithms. Zbl 1321.65068
Sørensen, Mikael; Domanov, Ignat; de Lathauwer, Lieven
2015
Canonical polyadic decomposition of third-order tensors: reduction to generalized eigenvalue decomposition. Zbl 1306.15022
Domanov, Ignat; De Lathauwer, Lieven
2014
On the uniqueness of the canonical polyadic decomposition of third-order tensors. II: Uniqueness of the overall decomposition. Zbl 1282.15020
Domanov, Ignat; De Lathauwer, Lieven
2013
On the uniqueness of the canonical polyadic decomposition of third-order tensors. I: Basic results and uniqueness of one factor matrix. Zbl 1282.15019
Domanov, Ignat; De Lathauwer, Lieven
2013
On invariant subspaces of matrices: a new proof of a theorem of Halmos. Zbl 1206.15007
Domanov, Ignat
2010
On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009
Domanov, I. Yu.; Malamud, M. M.
2009
Invariant and hyperinvariant subspaces of an operator $$J^{\alpha}$$ and related operator algebras in Sobolev spaces. Zbl 1006.47003
Domanov, I. Yu.; Malamud, M. M.
2002
On cyclic and invariant subspaces of the operator $$J\otimes B$$ in Sobolev spaces. Zbl 0956.46022
Domanov, I. Yu.
1999
On cyclic and invariant subspaces of an operator $$J\otimes B$$ in the Sobolev space of vector functions. Zbl 0948.47033
Domanov, I. U.
1999
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Cited by 84 Authors

 10 De Lathauwer, Lieven 7 Domanov, Ignat 6 Vannieuwenhoven, Nick 5 Ballico, Edoardo 4 Chiantini, Luca 4 Sørensen, Mikael 3 Angelini, Elena 3 Nie, Jiawang 3 Qi, Yang 2 Breiding, Paul 2 Cai, Yunfeng 2 Comon, Pierre 2 Dreesen, Philippe 2 Garayev, Mübariz Tapdıgoğlu 2 Ishteva, Mariya 2 Mohlenkamp, Martin J. 2 Montoro, M. Eulalia 2 Nakatsukasa, Yuji 2 Ottaviani, Giorgio Maria 2 Stegeman, Alwin 2 Usevich, Konstantin 1 Alkanjo, Hasan 1 Beltrán, Carlos 1 Bernardi, Alessandra 1 Bocci, Cristiano 1 Bonhomme, Stéphane 1 Bourdon, Paul S. 1 Boussé, Martijn 1 Bove, Giuseppe 1 Boyer, Rémy 1 Cassier, Gilles 1 Che, Maolin 1 Cowen, Carl C. 1 de Almeida, André L. F. 1 Debals, Otto 1 Favier, Gérard 1 Giordani, Paolo E. 1 Gong, Xue 1 Goovaerts, Griet 1 Gurdal, Mehmet 1 Hashemi, Behnam 1 Jiang, Yaolin 1 Jochmans, Koen 1 Johnston, William W. 1 Kong, Xu 1 Krämer, Sebastian 1 Kuo, Yueh-Cheng 1 Lee, Tsung-Lin 1 Li, Rencang 1 Lim, Lek-Heng 1 Liu, Chengyu 1 Liu, Long 1 Magret, Maria Dolors 1 Malamud, Mark M. 1 Matsuo, Takayasu 1 Meerbergen, Karl 1 Mingueza, David 1 Murakoshi, Tomonori 1 Pacha, Juan Ramon 1 Padhy, Sibasankar 1 Robin, Jean-Marc 1 Rocci, Roberto 1 Saltan, Suna 1 Schoukens, Johan 1 Shapiro, Joel H. 1 Soma, Tasuku 1 Sorber, Laurent 1 Tapdigoglu, Ramiz G. 1 Uschmajew, André 1 Van Barel, Marc 1 Van Huffel, Sabine 1 Vandebril, Raf 1 Vervliet, Nico 1 Wahl, Rebecca G. 1 Wang, Ling 1 Wang, Xuezhong 1 Wang, Yuexian 1 Wei, Yimin 1 Xie, Jian 1 Yang, Zi 1 Ye, Ke 1 Young, Todd R. 1 Zhang, Zhaolin 1 Zniyed, Yassine
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Cited in 24 Serials

 17 SIAM Journal on Matrix Analysis and Applications 11 Linear Algebra and its Applications 3 Linear and Multilinear Algebra 2 Psychometrika 2 Illinois Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Scientific Computing 2 SIAM Journal on Applied Dynamical Systems 2 Mathematics 1 Journal of Mathematical Analysis and Applications 1 The Annals of Statistics 1 BIT 1 Functional Analysis and its Applications 1 Journal of Geometry 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Journal of Symbolic Computation 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 Mathematical Problems in Engineering 1 JSIAM Letters 1 SIAM Journal on Applied Algebra and Geometry
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Cited in 19 Fields

 47 Linear and multilinear algebra; matrix theory (15-XX) 20 Numerical analysis (65-XX) 15 Algebraic geometry (14-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Commutative algebra (13-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)